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Contact Stress And Crack Problems In The Mathematical Theory Of Elasticity
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Book Synopsis Contact Stress and Crack Problems in the Mathematical Theory of Elasticity by : Leon M. Keer
Download or read book Contact Stress and Crack Problems in the Mathematical Theory of Elasticity written by Leon M. Keer and published by . This book was released on 1968 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Certain analytical problems of engineering and mathematical significance in the three-dimensional theory of elasticity have been solved. Solutions to these problems, in addition to their academic challenge, have proven to be useful in making design estimates. Particular problem areas investigated include the following: Thermoelastic contact problems; Problems involving torsion of structural members in contact; A study of cracks in a medium undergoing simple shear; A study of punch and crack problems involving adhesion.
Book Synopsis Some Basic Problems of the Mathematical Theory of Elasticity by : N.I. Muskhelishvili
Download or read book Some Basic Problems of the Mathematical Theory of Elasticity written by N.I. Muskhelishvili and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: TO THE FIRST ENGLISH EDITION. In preparing this translation, I have taken the liberty of including footnotes in the main text or inserting them in small type at the appropriate places. I have also corrected minor misprints without special mention .. The Chapters and Sections of the original text have been called Parts and Chapters respectively, where the latter have been numbered consecutively. The subject index was not contained in the Russian original and the authors' index represents an extension of the original list of references. In this way the reader should be able to find quickly the pages on which anyone reference is discussed. The transliteration problem has been overcome by printing the names of Russian authors and journals also in Russian type. While preparing this translation in the first place for my own informa tion, the knowledge that it would also become accessible to a large circle of readers has made the effort doubly worthwhile. I feel sure that the reader will share with me in my admiration for the simplicity and lucidity of presentation.
Book Synopsis Crack Problems in the Mathematical Theory of Elasticity by : Ian Naismith Sneddon
Download or read book Crack Problems in the Mathematical Theory of Elasticity written by Ian Naismith Sneddon and published by . This book was released on 1961 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of main interest is the calculation of the stress field in the vicinity of a crack (or cracks) in a homogeneous isotropic solid. The principal methods available for the solution of such problems are treated. Problems in aelotropic bodies are not considered, nor are the physical implications of the results of the calculations. (Author).
Book Synopsis Crack Problems in the Classical Theory of Elasticity by : Ian Naismith Sneddon
Download or read book Crack Problems in the Classical Theory of Elasticity written by Ian Naismith Sneddon and published by John Wiley & Sons. This book was released on 1969 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Contact Problems in the Classical Theory of Elasticity by : G.M.L. Gladwell
Download or read book Contact Problems in the Classical Theory of Elasticity written by G.M.L. Gladwell and published by Springer Science & Business Media. This book was released on 1980-06-30 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Plane Stress Problems in the Mathematical Theory of Elasticity by : Maurice Zaslawsky
Download or read book Plane Stress Problems in the Mathematical Theory of Elasticity written by Maurice Zaslawsky and published by . This book was released on 1965 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Theory of Elasticity of Quasicrystals and Its Applications by : Tianyou Fan
Download or read book Mathematical Theory of Elasticity of Quasicrystals and Its Applications written by Tianyou Fan and published by Springer Science & Business Media. This book was released on 2011-05-25 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This inter-disciplinary work covering the continuum mechanics of novel materials, condensed matter physics and partial differential equations discusses the mathematical theory of elasticity of quasicrystals (a new condensed matter) and its applications by setting up new partial differential equations of higher order and their solutions under complicated boundary value and initial value conditions. The new theories developed here dramatically simplify the solving of complicated elasticity equation systems. Large numbers of complicated equations involving elasticity are reduced to a single or a few partial differential equations of higher order. Systematical and direct methods of mathematical physics and complex variable functions are developed to solve the equations under appropriate boundary value and initial value conditions, and many exact analytical solutions are constructed. The dynamic and non-linear analysis of deformation and fracture of quasicrystals in this volume presents an innovative approach. It gives a clear-cut, strict and systematic mathematical overview of the field. Comprehensive and detailed mathematical derivations guide readers through the work. By combining mathematical calculations and experimental data, theoretical analysis and practical applications, and analytical and numerical studies, readers will gain systematic, comprehensive and in-depth knowledge on continuum mechanics, condensed matter physics and applied mathematics.
Book Synopsis Mathematical Problems in Elasticity by : Remigio Russo
Download or read book Mathematical Problems in Elasticity written by Remigio Russo and published by World Scientific. This book was released on 1996 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, five papers are collected that give a good sample of the problems and the results characterizing some recent trends and advances in this theory. Some of them are devoted to the improvement of a general abstract knowledge of the behavior of elastic bodies, while the others mainly deal with more applicative topics.
Book Synopsis Some Basic Problems of the Mathematical Theory of Elasticity by : Nikolaĭ Ivanovich Muskhelishvili
Download or read book Some Basic Problems of the Mathematical Theory of Elasticity written by Nikolaĭ Ivanovich Muskhelishvili and published by . This book was released on 1953 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Research in Progress written by and published by . This book was released on 1967 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Contact Problems in Elasticity by : N. Kikuchi
Download or read book Contact Problems in Elasticity written by N. Kikuchi and published by SIAM. This book was released on 1988-01-01 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contact of one deformable body with another lies at the heart of almost every mechanical structure. Here, in a comprehensive treatment, two of the field's leading researchers present a systematic approach to contact problems. Using variational formulations, Kikuchi and Oden derive a multitude of new results, both for classical problems and for nonlinear problems involving large deflections and buckling of thin plates with unilateral supports, dry friction with nonclassical laws, large elastic and elastoplastic deformations with frictional contact, dynamic contacts with dynamic frictional effects, and rolling contacts. This method exposes properties of solutions obscured by classical methods, and it provides a basis for the development of powerful numerical schemes. Among the novel results presented here are algorithms for contact problems with nonlinear and nonlocal friction, and very effective algorithms for solving problems involving the large elastic deformation of hyperelastic bodies with general contact conditions. Includes detailed discussion of numerical methods for nonlinear materials with unilateral contact and friction, with examples of metalforming simulations. Also presents algorithms for the finite deformation rolling contact problem, along with a discussion of numerical examples.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1975 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Book Synopsis Three-dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity by : T. G. Gegelii︠a︡
Download or read book Three-dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity written by T. G. Gegelii︠a︡ and published by . This book was released on 1979 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Elasticity and Plasticity by : James Norman Goodier
Download or read book Elasticity and Plasticity written by James Norman Goodier and published by . This book was released on 1958 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis R.D. Mindlin and Applied Mechanics by : George Herrmann
Download or read book R.D. Mindlin and Applied Mechanics written by George Herrmann and published by Elsevier. This book was released on 2013-10-22 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: R. D. Mindlin and Applied Mechanics is a collection of studies in the development of Applied Mechanics dedicated to Professor Raymond D. Mindlin by his former students. This book contains the development of specific areas of Mechanics of Solids to which Mindlin has contributed most. Organized into eight chapters, this text first discusses the past, present and likely future of photoelasticity. Subsequent chapters explore the development of the three-dimensional theory of elasticity; generalized elastic continua; bodies in contact with applications to granular media; and waves and vibrations in isotropic and anisotropic plates. Other chapters discuss the vibrations and wave propagation in rods, piezoelectric crystals, and electro-elasticity. Lastly, the lattice theories and continuum mechanics are described.
Book Synopsis Solid Mechanics, Theory of Elasticity and Creep by : Holm Altenbach
Download or read book Solid Mechanics, Theory of Elasticity and Creep written by Holm Altenbach and published by Springer Nature. This book was released on 2023-02-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents fundamental theoretical and experimental studies of well-known scientists in solid mechanics, hydromechanics, aeromechanics, biomechanics, etc. These studies relate to contact and mixed problems of the theory of elasticity and viscoelasticity, tribology, fracture mechanics, electroelasticity, magnetoelasticity, as well as to the theory of anisotropic shells and plates and are aimed at application in various areas of engineering practice. The book is devoted to the 110th birthday of academician N.Kh. Arutunyan.
Book Synopsis Mathematical Theory in Periodic Plane Elasticity by : Hai-Tao Cai
Download or read book Mathematical Theory in Periodic Plane Elasticity written by Hai-Tao Cai and published by CRC Press. This book was released on 2000-07-06 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting the mathematical theory of period problems in plane elasticity by methods of complex variables. The most general formulations of such problems are proposed under the assumption that the stresses are periodic and the displacements are quasi-periodic. The general expression of complex displacements are illustrated. Periodic welding problems are studied by reducing them to periodic Riemann boundary value problems. Various periodic problems of the elastic half-plane (fundamental problems, contact problems) are treated and solved by reduction to Riemann-Hilbert boundary value problems with discontinuous coefficient. Periodic crack problems are investigated which are transferred to singular integral equations whose unique solvability is guaranteed.
